2 papers
math.NT2025
Arithmetic Springer theorem and -universality under field extensions
Zilong He
Based on BONGs theory, we prove the norm principle for integral and relative integral spinor norms of quadratic forms over general dyadic local fields, respectively. By virtue of t…
math.NT2024
Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields
Zilong He, Zichen Yang
In this paper, we prove formulas for local densities of quadratic polynomials over non-dyadic fields and over unramified dyadic fields.